scientific article; zbMATH DE number 7640508

zbMath1506.05117MaRDI QIDQ5060665

Alexander Farrugia

Publication date: 11 January 2023

Full work available at URL: https://journals.uwyo.edu/index.php/ela/article/view/7231

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

characteristic polynomialmatrix traceadjugate matrixpolynomial reconstruction problem

Mathematics Subject Classification ID

Graph polynomials (05C31) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graph minors (05C83)

Cites Work

• Recent results in the theory of graph spectra
• Polynomial reconstruction and terminal vertices
• The characteristic polynomial of a graph is reconstructible from the characteristic polynomials of its vertex-deleted subgraphs and their complements
• On the reconstruction of the characteristic polynomial of a graph
• On the polynomial reconstruction of graphs whose vertex-deleted subgraphs have spectra bounded from below by \(-2\)
• A graph polynomial and its applications
• The polynomial reconstruction of unicyclic graphs is unique
• The Determinant of the Adjacency Matrix of a Graph
• Non-singular graphs with a singular deck
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